7628436 has 36 divisors (see below), whose sum is σ = 19373172. Its totient is φ = 2530944.

The previous prime is 7628417. The next prime is 7628437. The reversal of 7628436 is 6348267.

It can be written as a sum of positive squares in 2 ways, for example, as 3825936 + 3802500 = 1956^2 + 1950^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 7⁸ + 6⁶ + 2¹⁷ + 8 + 4⁶ + 3⁷ + 6⁸ .

It is a self number, because there is not a number n which added to its sum of digits gives 7628436.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7628437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10930 + ... + 11606.

Almost surely, 2^7628436 is an apocalyptic number.

It is an amenable number.

7628436 is an abundant number, since it is smaller than the sum of its proper divisors (11744736).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7628436 is a wasteful number, since it uses less digits than its factorization.

7628436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000 (or 995 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 7628436 is about 2761.9623458693. The cubic root of 7628436 is about 196.8544193150.

The spelling of 7628436 in words is "seven million, six hundred twenty-eight thousand, four hundred thirty-six".